Step-by-step explanation: For fractions, let A represent the fraction of animal stickers while S symbolizes the leftover stickers, including flowers. Based on the information, A is equal to
. To ascertain the fraction that is not animal or flower, we must ensure that the total fraction equals 1. Mathematically, we establish that A + S = 1; By substituting, the equation transforms to A + S = 1 which is simplified. Therefore, the fraction of stickers that are not animal equals
. As mentioned, of the remaining stickers are flower stickers. Let F represent flower stickers as follows: F =
* S, leading to: F =
*
. Hence, to determine the fraction of stickers that exclude both animals and flowers, the collective fractions should sum to 1. In an equation, it becomes A + F + R = 1; R then becomes 1 - A - F, where R denotes the fraction of stickers that aren't animal or flower. Consequently, the fraction of her stickers that are neither animal nor flower is
Shane and Abha received a team badge for gathering at least 2000 cans for recycling.
This indicates that their collection must total a minimum of 2000 cans.
Abha managed to collect 178 more cans than Shane.
Let’s denote the number of cans Shane collected as S
So, Abha collected = S + 178
The inequality representing the number of cans collected by Shane can be expressed as:
=
Answer:
Step-by-step explanation:
The probability distribution for the random variable X is provided.
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) The expected value E(X), representing the mean of X, equates to 5.3.
Standard deviation is the square root of the variance, which amounts to 0.9.
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b) For the mean of the sample, we find:
Mean = 5.3
Variance = var(x)/n =
c)